Finite Group Databasebeta

← Group #13152093

Character table — Group #13152093

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444666666666666666666669999121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12222222223666666666336666666666666666662222366666666666666666666622222266666666666666662244444466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-1111-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-11-1-1-1111
χ5111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-1111-1-11-1-1
χ6111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-111
χ7111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1111-11-1-1-111
χ8111111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-11-1111-1-1
χ91111-1-111-1-11111-1-111-1-111111-1-1-1-11111-1-1-1-111111111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-11-1-11-111-11-1-11-1
χ101111-1-111-1-11111-1-111-1-111111-1-1-1-11111-1-1-1-111111111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-11-1-11-111-11
χ111111-1-111-1-11111-1-111-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-11-11-111-1-11-11-11
χ121111-1-111-1-11111-1-111-1-111111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-11-11-1-111-11-11-1
χ131111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-11-1-11
χ141111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-111-1-1-111-111-1
χ151111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-11-1-1-1111-1
χ161111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11-1111-1-1-11
χ17222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ1922222222222222222222-12222222222222222-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000020002220-1000-1-1-1
χ2022222222222222222222-12222222222222222-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000-2000-2-2-201000111
χ21222222-2-2-2-2222222-2-2-2-22-1-1-1-1-1-1-1-1111111112222222-122-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222-2-2-2-2222222-2-2-2-22-1-1-1-1-1-1-1-111111111222-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222-2-2-2-2222222-2-2-2-2-122222222-2-2-2-2-2-2-2-2-1-1-10000-1-1-11111-1-1-1-1-1-1-1111111110000000000000000000000020002-2-20-1000-111
χ24222222-2-2-2-2222222-2-2-2-2-122222222-2-2-2-2-2-2-2-2-1-1-10000-1-1-11111-1-1-1-1-1-1-11111111100000000000000000000000-2000-222010001-1-1
χ252222-2-222-2-22222-2-222-2-22-1-1-1-11111-1-1-1-111112222222-1-2-222-2-2-1-1-11111-1-1-1-11111-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ262222-2-222-2-22222-2-222-2-22-1-1-1-11111-1-1-1-11111222-2-2-2-2-1-2-222-2-2-1-1-11111-1-1-1-1111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ272222-2-222-2-22222-2-222-2-2-12222-2-2-2-22222-2-2-2-2-1-1-10000-111-1-111-1-1-11111-1-1-1-11111000000000000000000000002000-22-20-10001-11
χ282222-2-222-2-22222-2-222-2-2-12222-2-2-2-22222-2-2-2-2-1-1-10000-111-1-111-1-1-11111-1-1-1-1111100000000000000000000000-20002-2201000-11-1
χ292222-2-2-2-2222222-2-2-2-2222-1-1-1-111111111-1-1-1-12222222-1-2-2-2-222-1-1-111111111-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ302222-2-2-2-2222222-2-2-2-2222-1-1-1-111111111-1-1-1-1222-2-2-2-2-1-2-2-2-222-1-1-111111111-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ312222-2-2-2-2222222-2-2-2-222-12222-2-2-2-2-2-2-2-22222-1-1-10000-11111-1-1-1-1-111111111-1-1-1-1000000000000000000000002000-2-220-100011-1
χ322222-2-2-2-2222222-2-2-2-222-12222-2-2-2-2-2-2-2-22222-1-1-10000-11111-1-1-1-1-111111111-1-1-1-100000000000000000000000-200022-201000-1-11
χ3322-2-200002-222-2-200002-2222-2-20000000022-2-22-2-222-2-2200002-22-2-20000000022-2-200002-222-2-20000000022-2-20000000000000000
χ3422-2-200002-222-2-200002-2222-2-20000000022-2-22-2-2-2-222200002-22-2-20000000022-2-20000-22-2-22200000000-2-2220000000000000000
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χ3622-2-200002-222-2-200002-22-1-111i3i3−i3−i3i3i3−i3−i3-1-1112-2-2-2-222-100002-2-111i3i3−i3−i3i3i3−i3−i3-1-1110000-2211-1-1−i3−i3i3i3−i3−i3i3i311-1-10000000000000000
χ3722-2-200002-222-2-200002-22-1-111−i3−i3i3i3−i3−i3i3i3-1-1112-2-222-2-2-100002-2-111−i3−i3i3i3−i3−i3i3i3-1-11100002-2-1-111−i3−i3i3i3−i3−i3i3i3-1-1110000000000000000
χ3822-2-200002-222-2-200002-22-1-111−i3−i3i3i3−i3−i3i3i3-1-1112-2-2-2-222-100002-2-111−i3−i3i3i3−i3−i3i3i3-1-1110000-2211-1-1i3i3−i3−i3i3i3−i3−i311-1-10000000000000000
χ3922-2-20000-2222-2-20000-22222-2-200000000-2-2222-2-222-2-220000-222-2-200000000-2-2220000-2222-2-200000000-2-2220000000000000000
χ4022-2-20000-2222-2-20000-22222-2-200000000-2-2222-2-2-2-22220000-222-2-200000000-2-22200002-2-2-2220000000022-2-20000000000000000
χ4122-2-20000-2222-2-20000-222-1-111i3i3−i3−i3−i3−i3i3i311-1-12-2-222-2-2-10000-22-111i3i3−i3−i3−i3−i3i3i311-1-10000-22-1-111i3i3−i3−i3−i3−i3i3i311-1-10000000000000000
χ4222-2-20000-2222-2-20000-222-1-111i3i3−i3−i3−i3−i3i3i311-1-12-2-2-2-222-10000-22-111i3i3−i3−i3−i3−i3i3i311-1-100002-211-1-1−i3−i3i3i3i3i3−i3−i3-1-1110000000000000000
χ4322-2-20000-2222-2-20000-222-1-111−i3−i3i3i3i3i3−i3−i311-1-12-2-222-2-2-10000-22-111−i3−i3i3i3i3i3−i3−i311-1-10000-22-1-111−i3−i3i3i3i3i3−i3−i311-1-10000000000000000
χ4422-2-20000-2222-2-20000-222-1-111−i3−i3i3i3i3i3−i3−i311-1-12-2-2-2-222-10000-22-111−i3−i3i3i3i3i3−i3−i311-1-100002-211-1-1i3i3−i3−i3−i3−i3i3i3-1-1110000000000000000
χ452-22-2002-2002-22-2002-20022-22-200002-22-20000-22-22-22-22002-200-22-200002-22-20000002-2002-22-200002-22-200000000000000000000
χ462-22-2002-2002-22-2002-20022-22-200002-22-20000-22-2-22-222002-200-22-200002-22-2000000-2200-22-220000-22-2200000000000000000000
χ472-22-2002-2002-22-2002-2002-11-11i3−i3i3−i3-11-11i3−i3i3−i3-22-22-22-2-1002-2001-11i3−i3i3−i3-11-11i3−i3i3−i3002-200-11-11i3−i3i3−i3-11-11i3−i3i3−i30000000000000000
χ482-22-2002-2002-22-2002-2002-11-11i3−i3i3−i3-11-11i3−i3i3−i3-22-2-22-22-1002-2001-11i3−i3i3−i3-11-11i3−i3i3−i300-22001-11-1−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ492-22-2002-2002-22-2002-2002-11-11−i3i3−i3i3-11-11−i3i3−i3i3-22-22-22-2-1002-2001-11−i3i3−i3i3-11-11−i3i3−i3i3002-200-11-11−i3i3−i3i3-11-11−i3i3−i3i30000000000000000
χ502-22-2002-2002-22-2002-2002-11-11−i3i3−i3i3-11-11−i3i3−i3i3-22-2-22-22-1002-2001-11−i3i3−i3i3-11-11−i3i3−i3i300-22001-11-1i3−i3i3−i31-11-1i3−i3i3−i30000000000000000
χ512-22-200-22002-22-200-220022-22-20000-22-220000-22-22-22-2200-2200-22-20000-22-22000000-22002-22-20000-22-2200000000000000000000
χ522-22-200-22002-22-200-220022-22-20000-22-220000-22-2-22-22200-2200-22-20000-22-220000002-200-22-2200002-22-200000000000000000000
χ532-22-200-22002-22-200-22002-11-11i3−i3i3−i31-11-1−i3i3−i3i3-22-22-22-2-100-22001-11i3−i3i3−i31-11-1−i3i3−i3i300-2200-11-11i3−i3i3−i31-11-1−i3i3−i3i30000000000000000
χ542-22-200-22002-22-200-22002-11-11i3−i3i3−i31-11-1−i3i3−i3i3-22-2-22-22-100-22001-11i3−i3i3−i31-11-1−i3i3−i3i3002-2001-11-1−i3i3−i3i3-11-11i3−i3i3−i30000000000000000
χ552-22-200-22002-22-200-22002-11-11−i3i3−i3i31-11-1i3−i3i3−i3-22-22-22-2-100-22001-11−i3i3−i3i31-11-1i3−i3i3−i300-2200-11-11−i3i3−i3i31-11-1i3−i3i3−i30000000000000000
χ562-22-200-22002-22-200-22002-11-11−i3i3−i3i31-11-1i3−i3i3−i3-22-2-22-22-100-22001-11−i3i3−i3i31-11-1i3−i3i3−i3002-2001-11-1i3−i3i3−i3-11-11−i3i3−i3i30000000000000000
χ572-2-222-200002-2-222-2000022-2-222-2-2200000000-2-222-2-2222-20000-2-222-2-22000000002-200002-2-222-2-22000000000000000000000000
χ582-2-222-200002-2-222-2000022-2-222-2-2200000000-2-22-222-222-20000-2-222-2-2200000000-220000-222-2-222-2000000000000000000000000
χ592-2-222-200002-2-222-200002-111-1-111-1i3−i3−i3i3i3−i3−i3i3-2-222-2-22-12-2000011-1-111-1i3−i3−i3i3i3−i3−i3i32-20000-111-1-111-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ602-2-222-200002-2-222-200002-111-1-111-1i3−i3−i3i3i3−i3−i3i3-2-22-222-2-12-2000011-1-111-1i3−i3−i3i3i3−i3−i3i3-2200001-1-111-1-11−i3i3i3−i3−i3i3i3−i30000000000000000
χ612-2-222-200002-2-222-200002-111-1-111-1−i3i3i3−i3−i3i3i3−i3-2-222-2-22-12-2000011-1-111-1−i3i3i3−i3−i3i3i3−i32-20000-111-1-111-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ622-2-222-200002-2-222-200002-111-1-111-1−i3i3i3−i3−i3i3i3−i3-2-22-222-2-12-2000011-1-111-1−i3i3i3−i3−i3i3i3−i3-2200001-1-111-1-11i3−i3−i3i3i3−i3−i3i30000000000000000
χ632-2-22-2200002-2-22-22000022-2-22-222-200000000-2-222-2-222-220000-2-22-222-200000000-2200002-2-22-222-2000000000000000000000000
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χ70444444-4-4-4-4444444-4-4-4-4-2-2-2-2-2-2-2-2-222222222-2-2-200001-2-222221111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ844-44-400-44004-44-400-4400-2-22-22−2i32i3−2i32i32-22-22i3−2i32i3−2i32-2200001002-200-11-1i3−i3i3−i3-11-11−i3i3−i3i300000000000000000000000000000000000000
χ854-4-444-400004-4-444-40000-24-4-444-4-440000000022-20000-2-22000022-2-222-20000000000000000000000000000000000000000000000
χ864-4-444-400004-4-444-40000-2-222-2-222-22i3−2i3−2i32i32i3−2i3−2i32i322-200001-220000-1-111-1-11−i3i3i3−i3−i3i3i3−i300000000000000000000000000000000000000
χ874-4-444-400004-4-444-40000-2-222-2-222-2−2i32i32i3−2i3−2i32i32i3−2i322-200001-220000-1-111-1-11i3−i3−i3i3i3−i3−i3i300000000000000000000000000000000000000
χ884-4-44-4400004-4-44-440000-24-4-44-444-40000000022-20000-22-2000022-22-2-220000000000000000000000000000000000000000000000
χ894-4-44-4400004-4-44-440000-2-222-22-2-222i3−2i3−2i32i3−2i32i32i3−2i322-2000012-20000-1-11-111-1−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000000000
χ904-4-44-4400004-4-44-440000-2-222-22-2-22−2i32i32i3−2i32i3−2i3−2i32i322-2000012-20000-1-11-111-1i3−i3−i3i3−i3i3i3−i300000000000000000000000000000000000000
χ916666666666-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000020222000-10-1-1-1000
χ926666666666-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-20-2-2-200010111000
χ93666666-6-6-6-6-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000202-2-2000-10-111000
χ94666666-6-6-6-6-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-20-222000101-1-1000
χ956666-6-666-6-6-3-3-3-333-3-3330000000000000000000000000000000000000000000000000000000000000000000020-22-2000-101-11000
χ966666-6-666-6-6-3-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000-202-2200010-11-1000
χ976666-6-6-6-666-3-3-3-33333-3-30000000000000000000000000000000000000000000000000000000000000000000020-2-22000-1011-1000
χ986666-6-6-6-666-3-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000000-2022-200010-1-11000
χ991212-12-12000012-12-6-6660000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-120000-1212-6-66600006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-120012-1200-66-6600-6600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-1200-121200-66-66006-600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-121212-120000-666-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-12120000-666-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).